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Finding the Fourth Proportional to 10,061.38, 13,884.78 and 5,585.55

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Solution

The fourth proportional to 10,061.38, 13,884.78 and 5,585.55 is: 7,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,061.38 : 13,884.78 = 5,585.55 : x
  2. Step 2: Convert to fraction form
    10,061.38/13,884.78 = 5,585.55/x
  3. Step 3: Cross multiply
    10,061.38x = 13,884.78 × 5,585.55
  4. Step 4: Simplify right side
    10,061.38x = 77,554,132.93
  5. Step 5: Solve for x
    x = 77,554,132.93/10,061.38
  6. Step 6: Final answer
    x = 7,708.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.